本次共计算 1 个题目：每一题对 x 求 4 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数arctan({({x}^{2} - 1)}^{\frac{1}{2}} - ln(x){\frac{1}{({x}^{2} - 1)}}^{\frac{1}{2}}) 关于 x 的 4 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = arctan(\frac{-ln(x)}{(x^{2} - 1)^{\frac{1}{2}}} + (x^{2} - 1)^{\frac{1}{2}})\\&\color{blue}{函数的第 1 阶导数：}\\&\frac{d\left( arctan(\frac{-ln(x)}{(x^{2} - 1)^{\frac{1}{2}}} + (x^{2} - 1)^{\frac{1}{2}})\right)}{dx}\\=&(\frac{(-(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})ln(x) - \frac{1}{(x^{2} - 1)^{\frac{1}{2}}(x)} + (\frac{\frac{1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{1}{2}}}))}{(1 + (\frac{-ln(x)}{(x^{2} - 1)^{\frac{1}{2}}} + (x^{2} - 1)^{\frac{1}{2}})^{2})})\\=&\frac{xln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{1}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x} + \frac{x}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})}\\\\ &\color{blue}{函数的第 2 阶导数：} \\&\frac{d\left( \frac{xln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{1}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x} + \frac{x}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})}\right)}{dx}\\=&\frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})xln(x)}{(x^{2} - 1)^{\frac{3}{2}}} + \frac{ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{x}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x)} - \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x} - \frac{(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})}{(x^{2} - 1)^{\frac{1}{2}}x} - \frac{-1}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x^{2}} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})x}{(x^{2} - 1)^{\frac{1}{2}}} + \frac{1}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})}\\=&\frac{-3x^{2}ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{2x^{2}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{4ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{2x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} + \frac{ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{2}} + \frac{2x^{2}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}x^{2}} - \frac{x^{2}}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{1}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{1}{2}}x^{2}} - \frac{2x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}} + \frac{4}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}} + \frac{2}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{1}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})}\\\\ &\color{blue}{函数的第 3 阶导数：} \\&\frac{d\left( \frac{-3x^{2}ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{2x^{2}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{4ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{2x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} + \frac{ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{2}} + \frac{2x^{2}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}x^{2}} - \frac{x^{2}}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{1}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{1}{2}}x^{2}} - \frac{2x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}} + \frac{4}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}} + \frac{2}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{1}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})}\right)}{dx}\\=&\frac{-3(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{3(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})x^{2}ln(x)}{(x^{2} - 1)^{\frac{5}{2}}} - \frac{3*2xln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{3x^{2}}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x)} + \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x^{2}ln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}} + \frac{2(\frac{\frac{-7}{2}(2x + 0)}{(x^{2} - 1)^{\frac{9}{2}}})x^{2}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{2*2xln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} + \frac{2x^{2}*3ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}(x)} - \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})ln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}} - \frac{4(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{4*2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}(x)} - \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x^{2}ln(x)}{(x^{2} - 1)^{\frac{3}{2}}} - \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{2*2xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} - \frac{2x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}(x)} + \frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})ln(x)}{(x^{2} - 1)^{\frac{3}{2}}} + \frac{1}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x)} + \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})ln(x)}{(x^{2} - 1)^{\frac{3}{2}}x^{2}} + \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{2}} + \frac{2*-2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{3}} + \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{2}(x)} + \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x^{2}ln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}} + \frac{2(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})x^{2}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{2*2xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} + \frac{2x^{2}*2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}(x)} - \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})}{(x^{2} - 1)^{\frac{1}{2}}x^{2}} - \frac{2(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{2}} - \frac{2*-2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}x^{3}} - \frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})x^{2}}{(x^{2} - 1)^{\frac{3}{2}}} - \frac{2x}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})}{(x^{2} - 1)^{\frac{1}{2}}x^{2}} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x^{2}} + \frac{-2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{1}{2}}x^{3}} - \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x^{2}}{(x^{2} - 1)^{\frac{1}{2}}} - \frac{2(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{2*2x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}} + \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})}{(x^{2} - 1)^{\frac{1}{2}}} + \frac{4(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{2(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})}{(x^{2} - 1)^{\frac{3}{2}}} + \frac{(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})}{(x^{2} - 1)^{\frac{1}{2}}}\\=&\frac{15x^{3}ln(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{20x^{3}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{9}{2}}} + \frac{30xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{4xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} + \frac{12x^{3}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{6xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{5}{2}}} - \frac{3xln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{8x^{3}ln^{5}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{11}{2}}} - \frac{24xln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} - \frac{16x^{3}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}} + \frac{4xln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{6xln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{24ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}x} + \frac{48xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} - \frac{8ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x} + \frac{8x^{3}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}} - \frac{4xln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{10ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}x} + \frac{2xln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{24ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x} - \frac{2xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} - \frac{4ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{3}} - \frac{8ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x^{3}} + \frac{16ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x^{3}} - \frac{24ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x} - \frac{12x^{3}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} + \frac{4xln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{8x^{3}ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} - \frac{16x^{3}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} + \frac{4xln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{3}} + \frac{2xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} + \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{3}} - \frac{12x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} + \frac{1}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x} + \frac{6}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x} + \frac{4}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{3}} + \frac{3x^{3}}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{8}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}x^{3}} + \frac{4x^{3}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} - \frac{2x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{3}{2}}} + \frac{24}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}x} + \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}x^{3}} - \frac{1}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{3}{2}}x} - \frac{2}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x^{3}} - \frac{24x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}} + \frac{8x^{3}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}} - \frac{4x}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{x}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{9x}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{2x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}}\\\\ &\color{blue}{函数的第 4 阶导数：} \\&\frac{d\left( \frac{15x^{3}ln(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{20x^{3}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{9}{2}}} + \frac{30xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{4xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} + \frac{12x^{3}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{6xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{5}{2}}} - \frac{3xln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{8x^{3}ln^{5}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{11}{2}}} - \frac{24xln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} - \frac{16x^{3}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}} + \frac{4xln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{6xln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{24ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}x} + \frac{48xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} - \frac{8ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x} + \frac{8x^{3}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}} - \frac{4xln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{10ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}x} + \frac{2xln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{24ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x} - \frac{2xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} - \frac{4ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{3}} - \frac{8ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x^{3}} + \frac{16ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x^{3}} - \frac{24ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x} - \frac{12x^{3}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} + \frac{4xln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{8x^{3}ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} - \frac{16x^{3}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} + \frac{4xln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{3}} + \frac{2xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} + \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{3}} - \frac{12x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} + \frac{1}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x} + \frac{6}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x} + \frac{4}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{3}} + \frac{3x^{3}}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{8}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}x^{3}} + \frac{4x^{3}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} - \frac{2x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{3}{2}}} + \frac{24}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}x} + \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}x^{3}} - \frac{1}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{3}{2}}x} - \frac{2}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x^{3}} - \frac{24x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}} + \frac{8x^{3}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}} - \frac{4x}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{x}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{9x}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{2x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}}\right)}{dx}\\=&\frac{15(\frac{\frac{-7}{2}(2x + 0)}{(x^{2} - 1)^{\frac{9}{2}}})x^{3}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{15(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})x^{3}ln(x)}{(x^{2} - 1)^{\frac{7}{2}}} + \frac{15*3x^{2}ln(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{15x^{3}}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x)} - \frac{20(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x^{3}ln^{3}(x)}{(x^{2} - 1)^{\frac{9}{2}}} - \frac{20(\frac{\frac{-9}{2}(2x + 0)}{(x^{2} - 1)^{\frac{11}{2}}})x^{3}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{20*3x^{2}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{9}{2}}} - \frac{20x^{3}*3ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{9}{2}}(x)} + \frac{30(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})xln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}} + \frac{30(\frac{\frac{-7}{2}(2x + 0)}{(x^{2} - 1)^{\frac{9}{2}}})xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{30ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} + \frac{30x*2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}(x)} - \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})xln(x)}{(x^{2} - 1)^{\frac{5}{2}}} - \frac{4(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{4ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{4x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}(x)} + \frac{12(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x^{3}ln(x)}{(x^{2} - 1)^{\frac{5}{2}}} + \frac{12(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})x^{3}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{12*3x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} + \frac{12x^{3}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}(x)} - \frac{6(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})xln(x)}{(x^{2} - 1)^{\frac{5}{2}}} - \frac{6(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{6ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{5}{2}}} - \frac{6x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{5}{2}}(x)} - \frac{3(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{3(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})xln(x)}{(x^{2} - 1)^{\frac{5}{2}}} - \frac{3ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{3x}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x)} + \frac{8(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})x^{3}ln^{5}(x)}{(x^{2} - 1)^{\frac{11}{2}}} + \frac{8(\frac{\frac{-11}{2}(2x + 0)}{(x^{2} - 1)^{\frac{13}{2}}})x^{3}ln^{5}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{8*3x^{2}ln^{5}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{11}{2}}} + \frac{8x^{3}*5ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{11}{2}}(x)} - \frac{24(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})xln^{4}(x)}{(x^{2} - 1)^{\frac{9}{2}}} - \frac{24(\frac{\frac{-9}{2}(2x + 0)}{(x^{2} - 1)^{\frac{11}{2}}})xln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} - \frac{24ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} - \frac{24x*4ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}(x)} - \frac{16(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})x^{3}ln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}} - \frac{16(\frac{\frac{-7}{2}(2x + 0)}{(x^{2} - 1)^{\frac{9}{2}}})x^{3}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} - \frac{16*3x^{2}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}} - \frac{16x^{3}*3ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}(x)} + \frac{4(\frac{\frac{-7}{2}(2x + 0)}{(x^{2} - 1)^{\frac{9}{2}}})xln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})xln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}} + \frac{4ln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{4x*3ln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x)} + \frac{6(\frac{\frac{-7}{2}(2x + 0)}{(x^{2} - 1)^{\frac{9}{2}}})xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{6(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})xln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}} + \frac{6ln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{6x*2ln(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x)} + \frac{24(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})ln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}x} + \frac{24(\frac{\frac{-7}{2}(2x + 0)}{(x^{2} - 1)^{\frac{9}{2}}})ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x} + \frac{24*-ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}x^{2}} + \frac{24*3ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}x(x)} + \frac{48(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})xln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}} + \frac{48(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{48ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} + \frac{48x*2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}(x)} - \frac{8(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x} - \frac{8(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})ln(x)}{(x^{2} - 1)^{\frac{5}{2}}x} - \frac{8*-ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{2}} - \frac{8}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x(x)} + \frac{8(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})x^{3}ln(x)}{(x^{2} - 1)^{\frac{3}{2}}} + \frac{8(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})x^{3}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{8*3x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}} + \frac{8x^{3}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}(x)} - \frac{4(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})xln(x)}{(x^{2} - 1)^{\frac{3}{2}}} - \frac{4ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{4x}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x)} - \frac{10(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})ln(x)}{(x^{2} - 1)^{\frac{5}{2}}x} - \frac{10(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x} - \frac{10*-ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}x^{2}} - \frac{10}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}x(x)} + \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})xln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}} + \frac{2(\frac{\frac{-7}{2}(2x + 0)}{(x^{2} - 1)^{\frac{9}{2}}})xln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{2ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} + \frac{2x*3ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}(x)} - \frac{24(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})ln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}x} - \frac{24(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x} - \frac{24*-ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x^{2}} - \frac{24*2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x(x)} - \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})xln(x)}{(x^{2} - 1)^{\frac{3}{2}}} - \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} - \frac{2x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}(x)} - \frac{4(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{3}} - \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})ln(x)}{(x^{2} - 1)^{\frac{3}{2}}x^{3}} - \frac{4*-3ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{4}} - \frac{4}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{3}(x)} - \frac{8(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})ln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}x^{3}} - \frac{8(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{3}} - \frac{8*-3ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x^{4}} - \frac{8*2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x^{3}(x)} + \frac{16(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})ln(x)}{(x^{2} - 1)^{\frac{3}{2}}x^{3}} + \frac{16(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{3}} + \frac{16*-3ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x^{4}} + \frac{16}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x^{3}(x)} - \frac{24(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})ln(x)}{(x^{2} - 1)^{\frac{3}{2}}x} - \frac{24(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x} - \frac{24*-ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x^{2}} - \frac{24}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x(x)} - \frac{12(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x^{3}ln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}} - \frac{12(\frac{\frac{-7}{2}(2x + 0)}{(x^{2} - 1)^{\frac{9}{2}}})x^{3}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{12*3x^{2}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{12x^{3}*2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}(x)} + \frac{4(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})xln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}} + \frac{4ln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{4x*2ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x)} + \frac{8(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})x^{3}ln^{4}(x)}{(x^{2} - 1)^{\frac{9}{2}}} + \frac{8(\frac{\frac{-9}{2}(2x + 0)}{(x^{2} - 1)^{\frac{11}{2}}})x^{3}ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{8*3x^{2}ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} + \frac{8x^{3}*4ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}(x)} - \frac{16(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})x^{3}ln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}} - \frac{16(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})x^{3}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} - \frac{16*3x^{2}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} - \frac{16x^{3}*2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}(x)} + \frac{4(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})xln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})xln(x)}{(x^{2} - 1)^{\frac{5}{2}}} + \frac{4ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{4x}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x)} - \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})ln(x)}{(x^{2} - 1)^{\frac{3}{2}}x^{3}} - \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{3}} - \frac{2*-3ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{4}} - \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{3}(x)} + \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})xln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}} + \frac{2(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})xln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{2ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} + \frac{2x*2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}(x)} + \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})}{(x^{2} - 1)^{\frac{3}{2}}x^{3}} + \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{3}} + \frac{2*-3}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{4}} - \frac{12(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x}{(x^{2} - 1)^{\frac{3}{2}}} - \frac{12(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{12}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} + \frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x} + \frac{(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})}{(x^{2} - 1)^{\frac{3}{2}}x} + \frac{-1}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x^{2}} + \frac{6(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})}{(x^{2} - 1)^{\frac{3}{2}}x} + \frac{6(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x} + \frac{6*-1}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{2}} + \frac{4(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{3}} + \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})}{(x^{2} - 1)^{\frac{1}{2}}x^{3}} + \frac{4*-3}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{4}} + \frac{3(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})x^{3}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{3(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})x^{3}}{(x^{2} - 1)^{\frac{5}{2}}} + \frac{3*3x^{2}}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{8(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})}{(x^{2} - 1)^{\frac{1}{2}}x^{3}} - \frac{8(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{3}} - \frac{8*-3}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}x^{4}} + \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x^{3}}{(x^{2} - 1)^{\frac{3}{2}}} + \frac{4(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})x^{3}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{4*3x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} - \frac{2(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})x}{(x^{2} - 1)^{\frac{3}{2}}} - \frac{2(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{3}{2}}} + \frac{24(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})}{(x^{2} - 1)^{\frac{1}{2}}x} + \frac{24(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x} + \frac{24*-1}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}x^{2}} + \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})}{(x^{2} - 1)^{\frac{1}{2}}x^{3}} + \frac{2(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{3}} + \frac{2*-3}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}x^{4}} - \frac{(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})}{(x^{2} - 1)^{\frac{3}{2}}x} - \frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x} - \frac{-1}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{3}{2}}x^{2}} - \frac{2(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x^{3}} - \frac{2(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})}{(x^{2} - 1)^{\frac{1}{2}}x^{3}} - \frac{2*-3}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x^{4}} - \frac{24(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})x}{(x^{2} - 1)^{\frac{1}{2}}} - \frac{24(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} - \frac{24}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}} + \frac{8(\frac{-3((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}})x^{3}}{(x^{2} - 1)^{\frac{1}{2}}} + \frac{8(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})x^{3}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{8*3x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}} - \frac{4(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{4(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x}{(x^{2} - 1)^{\frac{1}{2}}} - \frac{4}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{(\frac{\frac{-3}{2}(2x + 0)}{(x^{2} - 1)^{\frac{5}{2}}})x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})x}{(x^{2} - 1)^{\frac{3}{2}}} - \frac{1}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{9(\frac{\frac{-5}{2}(2x + 0)}{(x^{2} - 1)^{\frac{7}{2}}})x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{9(\frac{-((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}})x}{(x^{2} - 1)^{\frac{5}{2}}} - \frac{9}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{2(\frac{-2((\frac{-(2x + 0)}{(x^{2} - 1)^{2}})ln^{2}(x) + \frac{2ln(x)}{(x^{2} - 1)(x)} - \frac{2}{(x)} + 2x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}})x}{(x^{2} - 1)^{\frac{1}{2}}} - \frac{2(\frac{\frac{-1}{2}(2x + 0)}{(x^{2} - 1)^{\frac{3}{2}}})x}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}}\\=&\frac{-105x^{4}ln(x)}{(x^{2} - 1)^{\frac{9}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{210x^{4}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{11}{2}}} - \frac{258x^{2}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{9}{2}}} + \frac{44x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{90x^{4}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} + \frac{75x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{7}{2}}} + \frac{15x^{2}ln(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{168x^{4}ln^{5}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{13}{2}}} + \frac{440x^{2}ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{11}{2}}} + \frac{60ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{88x^{2}ln^{3}(x)}{(x^{2} - 1)^{\frac{9}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{102x^{2}ln^{2}(x)}{(x^{2} - 1)^{\frac{9}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{384ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} + \frac{288ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}} - \frac{528x^{2}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}} + \frac{100ln(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{32x^{2}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} + \frac{192ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} + \frac{32x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} - \frac{8ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} + \frac{240x^{4}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} - \frac{72x^{4}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} + \frac{48x^{2}ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{14ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}x^{2}} - \frac{32x^{2}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{9}{2}}} + \frac{24x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{6ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{5}{2}}} + \frac{24x^{2}ln^{5}(x)}{(x^{2} - 1)^{\frac{11}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} - \frac{3ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{40x^{2}ln^{4}(x)}{(x^{2} - 1)^{\frac{11}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{48x^{4}ln^{7}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{15}{2}}} - \frac{192x^{2}ln^{6}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{13}{2}}} + \frac{120ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}x^{2}} - \frac{48ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} - \frac{96ln^{3}(x)}{(x^{2} - 1)^{\frac{9}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{288ln^{5}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{11}{2}}} - \frac{48x^{2}ln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{96ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} - \frac{48x^{2}ln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} - \frac{144x^{4}ln^{5}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{11}{2}}} + \frac{576x^{2}ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{9}{2}}} + \frac{24x^{2}ln^{5}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{11}{2}}} + \frac{4ln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{12ln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{80ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{48x^{2}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}} + \frac{24ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x^{4}} - \frac{24ln^{3}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{2}} + \frac{72ln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{2}} - \frac{192ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{9}{2}}x^{2}} + \frac{22ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{2}} + \frac{96ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} - \frac{576ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{7}{2}}} - \frac{144ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x^{2}} + \frac{24x^{2}ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{24ln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{2}} + \frac{144x^{4}ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{7}{2}}} - \frac{576x^{2}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{5}{2}}} - \frac{48x^{4}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{3}{2}}} + \frac{16ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{4}} - \frac{4ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{24x^{2}ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}} + \frac{90x^{4}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{9}{2}}} - \frac{48ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{2}} + \frac{2ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} - \frac{56x^{2}ln^{2}(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{384ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{7}{2}}x^{2}} - \frac{288ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{9}{2}}} - \frac{44x^{2}ln(x)}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{576ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{5}{2}}} - \frac{2ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} + \frac{6ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{4}} + \frac{24ln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{4}} - \frac{16ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{4}} - \frac{24ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}x^{2}} - \frac{48ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x^{4}} + \frac{24ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x^{2}} - \frac{48ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{4}} + \frac{24ln(x)}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{2}} + \frac{48ln^{3}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{7}{2}}x^{4}} - \frac{144ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{5}{2}}x^{4}} - \frac{120x^{4}ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{11}{2}}} + \frac{24x^{2}ln^{4}(x)}{(x^{2} - 1)^{\frac{9}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{144ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{3}{2}}x^{4}} - \frac{384ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{3}{2}}x^{2}} + \frac{32x^{2}ln^{3}(x)}{(x^{2} - 1)^{\frac{9}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} - \frac{16x^{2}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{7}{2}}} + \frac{144x^{4}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{7}{2}}} - \frac{48x^{2}ln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{288ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{3}{2}}} - \frac{32x^{2}ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{4ln^{2}(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{24x^{2}ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{9}{2}}} - \frac{48x^{2}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}} + \frac{48x^{4}ln^{6}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{13}{2}}} - \frac{144x^{4}ln^{4}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{9}{2}}} + \frac{144x^{4}ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{5}{2}}} - \frac{8ln(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x^{4}} + \frac{24ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{5}{2}}x^{2}} - \frac{4ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}x^{2}} + \frac{24}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}x^{4}} + \frac{8ln(x)}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{10}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{4}} + \frac{60x^{2}}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{4}} - \frac{8}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{2}} + \frac{2ln^{2}(x)}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{10}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{2}} - \frac{16}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}x^{4}} + \frac{24}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{4}} - \frac{18x^{4}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{1}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{3}{2}}x^{2}} + \frac{16x^{2}}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} + \frac{72x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}x^{2}} - \frac{24}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}x^{2}} - \frac{15x^{4}}{(x^{2} - 1)^{\frac{7}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{96x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}} + \frac{24}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}x^{4}} - \frac{24}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}x^{2}} + \frac{15x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{5}{2}}} - \frac{24x^{4}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}} - \frac{6}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}x^{4}} + \frac{24x^{2}}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}} + \frac{8x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} - \frac{16}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}x^{2}} + \frac{3}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})x^{2}} + \frac{6}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{1}{2}}x^{4}} + \frac{4}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}x^{2}} + \frac{192x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{1}{2}}} - \frac{48x^{4}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{1}{2}}} + \frac{3x^{2}}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{24x^{2}}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}} - \frac{48}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{1}{2}}x^{4}} + \frac{192}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{1}{2}}x^{2}} - \frac{20}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{3}{2}}} - \frac{4}{(x^{2} - 1)^{\frac{1}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{48}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{1}{2}}} - \frac{4}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{40}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{5}{2}}} - \frac{96}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{3}(x^{2} - 1)^{\frac{3}{2}}} - \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}(x^{2} - 1)^{\frac{1}{2}}} - \frac{15}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} + \frac{4}{(x^{2} - 1)^{\frac{5}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{2}} - \frac{1}{(x^{2} - 1)^{\frac{3}{2}}(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})} - \frac{288}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})^{4}(x^{2} - 1)^{\frac{1}{2}}} - \frac{2}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{3}{2}}} - \frac{3}{(\frac{ln^{2}(x)}{(x^{2} - 1)} - 2ln(x) + x^{2})(x^{2} - 1)^{\frac{5}{2}}}\\ \end{split}\end{equation} \]

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